Find the Orthogonal Trajectory of this equation (x^2/p^2)+(y^2/(q^2-p^2))=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the Orthogonal Trajectory of this equation (x^2/p^2)+(y^2/(q^2-p^2))=1

Ans. (X^2/r^2)-(y^2/(r^2-q^2))=1

Note: they have common foci and axis.

= 1, where 0 <p < q,
q2-p2
+
Transcribed Image Text:= 1, where 0 <p < q, q2-p2 +
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